This is not the Master Gardener forum, if you are using that term in the way it is usually recognised.

But anyhoo.....the plants looks like one of the Veronica cultivars.

From what I can see in the photo, the plant up front is purple loosestrife, Lythrum. A terrible invasive in much of the US. Best removed & bagged for the landfill - do NOT compost.

It is indeed Lythrum. Although don't be to hasty to judge. I have these plants in my garden and they are very nice perennials. I know all about the invasive nature of the wild form of Lythrum as I live in PA where is grows readily in our waterways and is hard to remove. The theory is the seeds escaped from our cultivated gardens and migrated into the wild, the roots are woody and invasive. The 2 Lythrums I have in my garden are sterile and have never produced any seed, nor have they gotten any larger or done any suckering. They have both been in the same place for 14 years. AND we have a stream bed that is 150' away from the garden. They were originally purchased from a local nursery and they look exactly like the ones you have. I know also that the "wild" Lythrum is much taller and narrower, 2' wide by 4-5' tall. You can dig it up if want... I'll be glad to give it a home in my garden.

Even cultivated forms of Lythrium are problematic.

"Garden varieties of loosestrife, which were once thought to be sterile, have been proven to cross-pollinate with wild purple loosestrife to
produce viable seed. Gardeners can help control the spread of this
plant and protect our environment from its harmful impacts by not
planting purple loosestrife or the following cultivars:

Atropurpureum, Brightness, Columbia Pink, Dropmore Purple,
Firecandle, Flashfire, Floralie, Florarose, Gypsy Blood, Happy, Lady
Sackville, Morden Gleam, Morden Pink, Morden Rose, Pink Spires, Purple
Dwarf, Purple Spires, Robert, Rose Gleam, Rose Queen, Roseum superbum,
Rosy Gem, Rosy Glow, The Beacon, The Rocket, or Tomentosum."

" Originally many garden varieties of purple loosestrife such as
Morden Pink, Morden Gleam or Dropmore Purple were considered to be
sterile (did not produce seed), safe horticultural cultivars. Recent
scientific studies have shown that these varieties are indeed capable
of pollen and seed production. These plants can readily cross pollinate
with other garden varieties, as well as wild loosestrife populations.
In a Manitoba study, Morden Pink cultivars were planted near a wetland
with purple loosestrife and six months later all Morden Pink plant
produced viable seed. The majority of wild infestations of purple
loosestrife are the result of garden escapes."

Sorry, I don't agree. We have wild lythrum here in our wetlands too and the culture is much different than the lythrum in my garden. Mine is shorter and very clump forming and blooms much earlier (July) .... in fact mine is pretty much done before the wild child starts blooming(Aug). I think the wild lythrum is a different cultivar than the domestic. They may cross pollinate but I don't believe the domestic variety is to blame for the expansion of its wild cousin. It is more likely that the wild variety was here first and we (humans) used it to breed ourselves a more docile plant for our gardens. Also .... wild Lythrum does not need our garden Lythrum for pollination or germination or anything .... it is completely capable of doing that for itself. So for people to say I should destroy a beautiful plant because it "could escape" or "could pollinate" a wild species is, in my mind, ridiculous. If , indeed it does "escape" than why isn't it popping up all over my yard and acres of open fields? Anyone got a comment about the Forget-me-Nots, orange Daylilies, Vinca and Ivy groundcovers that are rampant "escapees"? No one is telling you that they are noxious weeds and you should destroy them. My Lythrum is staying.